Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ A force of 280 N did 1120 J of work. How many metres did the object move?
- 2.🏋️ A force of 140 N did 1120 J of work. How many metres did the object move?
- 3.🏋️ Pushing a crate 9 m took 4050 J of work. What force was used, in newtons?
- 4.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 5.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 1 m took 100 J of work. What force was used, in newtons?
- 8.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 10.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 400 N did 1200 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 17.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 18.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 10 m took 3800 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 21.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 22.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 110 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 27.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 7 m took 840 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 30 N did 210 J of work. How many metres did the object move?
- 34.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 36.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 350 N did 2450 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
Answer key
- 4
- 8
- 450
- through a distance
- 6
- 2
- 100
- 1000
- no, work stays the same
- 120
- 270
- 6
- 950
- 3
- 350
- 190
- load ÷ effort
- 4
- 380
- 4
- joule (J)
- 1000
- 100
- 110
- 490
- 3
- 50
- 300
- 120
- 5
- 6
- 1040
- 7
- 750
- 220
- 270
- 7
- 700
- 350
- 360
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